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42311340 = 22325313751
BaseRepresentation
bin1010000101100…
…1111010101100
32221121122020200
42201121322230
541312430330
64110513500
71022432451
oct241317254
987548220
1042311340
112197a155
1212205890
1389c58c6
145895828
153aaba60
hex2859eac

42311340 has 72 divisors (see below), whose sum is σ = 128925888. Its totient is φ = 11232000.

The previous prime is 42311333. The next prime is 42311341. The reversal of 42311340 is 4311324.

42311340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42311341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55965 + ... + 56715.

Almost surely, 242311340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64462944).

42311340 is an abundant number, since it is smaller than the sum of its proper divisors (86614548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42311340 is a wasteful number, since it uses less digits than its factorization.

42311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42311340 is about 6504.7167501744. The cubic root of 42311340 is about 348.4594604926.

Adding to 42311340 its reverse (4311324), we get a palindrome (46622664).

The spelling of 42311340 in words is "forty-two million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 751 939 1252 1502 1565 1878 2253 2817 3004 3130 3755 3756 4506 4695 5634 6260 6759 7510 9012 9390 11265 11268 13518 14085 15020 18780 22530 27036 28170 33795 45060 56340 67590 135180 235063 470126 705189 940252 1175315 1410378 2115567 2350630 2820756 3525945 4231134 4701260 7051890 8462268 10577835 14103780 21155670 42311340